Asymptotic domino statistics in the Aztec diamond
From MaRDI portal
Publication:2346071
DOI10.1214/14-AAP1021zbMath1329.60331arXiv1212.5414OpenAlexW2013322419MaRDI QIDQ2346071
Kurt Johansson, Sunil Chhita, Benjamin J. Young
Publication date: 29 May 2015
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.5414
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
Domino statistics of the two-periodic Aztec diamond, Asymptotics of random domino tilings of rectangular Aztec diamonds, Universal edge fluctuations of discrete interlaced particle systems, Gaussian asymptotics of discrete \(\beta \)-ensembles, Limit shapes and local statistics for the stochastic six-vertex model, General β-Jacobi Corners Process and the Gaussian Free Field, Relating Edelman-Greene insertion to the Little map, Fluctuations of the arctic curve in the tilings of the Aztec diamond on restricted domains, Fluctuations of particle systems determined by Schur generating functions, Speed and fluctuations for some driven dimer models, Domino tilings of the aztec diamond with doubly periodic weightings, High-performance sampling of generic determinantal point processes, Correlation functions for determinantal processes defined by infinite block Toeplitz minors, Fourier transform on high-dimensional unitary groups with applications to random tilings, Tacnode GUE-minor processes and double Aztec diamonds
Cites Work
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- Arctic circles, domino tilings and square Young tableaux
- Topics on abelian spin models and related problems
- Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field
- Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
- \(q\)-distributions on boxed plane partitions
- Interlaced particle systems and tilings of the Aztec diamond
- Alternating-sign matrices and domino tilings. II
- Scaling limit of isoradial dimer models and the case of triangular quadri-tilings
- Gibbs ensembles of nonintersecting paths
- Alternating-sign matrices and domino tilings. I
- The shape of a typical boxed plane partition
- Local statistics of lattice dimers
- Local statistics for random domino tilings of the Aztec diamond
- Non-intersecting paths, random tilings and random matrices
- Duality of orthogonal polynomials on a finite set
- Conformal invariance of domino tiling.
- Dominos and the Gaussian free field.
- Pattern densities in non-frozen planar dimer models
- Eigenvalues of GUE minors
- Limit shapes and the complex Burgers equation
- The arctic circle boundary and the Airy process
- Dimers and amoebae
- Height fluctuations in the honeycomb dimer model
- A variational principle for domino tilings
- Determinantal random point fields
- Markov Chain Algorithms for Planar Lattice Structures
- The statistics of dimers on a lattice
- Dimer models and Calabi-Yau algebras
- Conway's Tiling Groups
- Lectures on Dimers
- Course 1 Random matrices and determinantal processes
- An Introduction to Random Matrices
- Gauge model for the excess cosmic microwave background
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Gaussian Free Field in an Interlacing Particle System with Two Jump Rates
- Dimer problem in statistical mechanics-an exact result
- An Introduction to the Theory of Point Processes
- Traces and determinants of linear operators
